LEADER 04554nam 2200493 a 450 001 9910450589403321 005 20200520144314.0 010 $a981-277-683-4 035 $a(CKB)1000000000404617 035 $a(EBL)1681653 035 $a(OCoLC)879025553 035 $a(MiAaPQ)EBC1681653 035 $a(WSP)00005061 035 $a(Au-PeEL)EBL1681653 035 $a(CaPaEBR)ebr10201311 035 $a(CaONFJC)MIL505392 035 $a(EXLCZ)991000000000404617 100 $a20030328d2002 uy 0 101 0 $aeng 135 $aur|n|---||||| 200 00$aNew visual perspectives on Fibonacci numbers$b[electronic resource] /$fK.T. Atanassov ... [et al.] 210 $aRiver Edge, NJ $cWorld Scientific$dc2002 215 $a1 online resource (331 p.) 300 $aDescription based upon print version of record. 311 $a981-238-114-7 320 $aIncludes bibliographical references and index. 327 $aContents ; Introduction ; Foreword ; Preface ; PART A. NUMBER THEORETIC PERSPECTIVES ; Section 1. Coupled Recurrence Relations ; 1. Introductory remarks by the first author ; 2. The 2-Fibonacci sequences ; 3. Extensions of the concepts of 2-Fibonacci sequences 327 $a4. Other ideas for modification of the Fibonacci sequence Bibliography ; Section 2. Number Trees ; 1. Introduction - Turner's Number Trees ; 2. Generalizations using tableaux ; 3. On Gray codes and coupled recurrence trees ; 4. Studies of node sums on number trees 327 $a5. Connections with Pascal-T triangles Bibliography ; PART B. GEOMETRIC PERSPECTIVES ; Section 1. Fibonacci Vector Geometry ; 1. Introduction and elementary results ; 2. Vector sequences from linear recurrences ; 3. The Fibonacci honeycomb plane 327 $a4. Fibonacci and Lucas vector polygons 5. Trigonometry in the honeycomb plane ; 6. Vector sequences generated in planes ; 7. Fibonacci tracks groups and plus-minus sequences ; Bibliography ; Section 2. Goldpoint Geometry ; 1. On goldpoints and golden-mean constructions 327 $a2. The goldpoint rings of a line-segment 3. Some fractals in goldpoint geometry ; 4. Triangles and squares marked with goldpoints ; 5. Plane tessellations with goldpoint triangles ; 6. Tessellations with goldpoint squares ; 7. Games with goldpoint tiles ; Bibliography ; Index 330 $aThis book covers new ground on Fibonacci sequences and the well-known Fibonacci numbers. It will appeal to research mathematicians wishing to advance the new ideas themselves, and to recreational mathematicians, who will enjoy the various visual approaches and the problems inherent in them. There is a continuing emphasis on diagrams, both geometric and combinatorial, which helps to tie disparate topics together, weaving around the unifying themes of the golden mean and various generalizations of the Fibonacci recurrence relation. Very little prior mathematical knowledge is assumed, other th 606 $aFibonacci numbers 608 $aElectronic books. 615 0$aFibonacci numbers. 676 $a512.7/2 701 $aAtanassov$b Krassimir T$0911826 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910450589403321 996 $aNew visual perspectives on Fibonacci numbers$92041955 997 $aUNINA LEADER 02041nam 2200553 a 450 001 9910781553203321 005 20230617034009.0 010 $a0-87420-188-8 035 $a(CKB)2550000000073904 035 $a(EBL)828199 035 $a(OCoLC)298006076 035 $a(SSID)ssj0000643086 035 $a(PQKBManifestationID)11446623 035 $a(PQKBTitleCode)TC0000643086 035 $a(PQKBWorkID)10653598 035 $a(PQKB)10288555 035 $a(MiAaPQ)EBC828199 035 $a(Au-PeEL)EBL828199 035 $a(CaPaEBR)ebr10518802 035 $a(CaONFJC)MIL532960 035 $a(EXLCZ)992550000000073904 100 $a20040723d2004 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe woodlands$b[electronic resource] $ethe inside story of creating a better hometown /$fRoger Galatas with Jim Barlow 210 $aWashington, D.C. $cULI-the Urban Land Institute$d2004 215 $a1 online resource (211 p.) 300 $aDescription based upon print version of record. 311 $a1-306-01709-2 311 $a0-87420-931-5 320 $aIncludes bibliographical references and index. 327 $apt. 1. The beginning -- pt. 2. Commitment to develop -- pt. 3. Building institutions -- pt. 4. Productive relationships -- pt. 5. The woodlands after Mitchell. 330 $aGet a behind-the-scenes look into The Woodlands, an innovative new town that was built from the ground up near Houston, Texas. This is the story of the people who were instrumental in developing it and the experiences and challenges they had in creating a better, ""new"" hometown. 607 $aWoodlands (Tex.) 676 $a976.4 676 $a976.4153 700 $aGalatas$b Roger$01538536 701 $aBarlow$b Jim$01538537 712 02$aUrban Land Institute. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910781553203321 996 $aThe woodlands$93788616 997 $aUNINA